Not necessarily "equal" but the basic premise is the same, yes, and there is a common lineage. Azure Durable Functions sits on Azure Durable Task Framework which was created by the co-founder of Temporal (https://temporal.io/about).
Ohh, that's great to hear! I do like ADF, but the Python worker is full of bugs and weird behaviour and tickets stay open for month without progress. I will definitely check that out!
During an evaluation I found a bug in their library. I went to their Slack, posted about it, and they gave a workaround in 15 minutes, created an issue in 30, and had a bugfix PR ready the next day. Pretty impressed with their team.
Working on a freelance job 3 years ago, I got sucked down a rabbit-hole for months trying to get Azure Durable Functions to work. Too many bugs, no visibility into its workings and the worker would always grind to a halt. That job did not go well.
Avoid ADF (let alone Azure) until you've got some innovation tokens to spend, or go with another provider.
It got much better. The internals are explained well enough, although there is room for improvement. The bugs can be worked around. It's super annoying, but are the lesser evil when compared to what ADF brings to the table. However, I'm looking into Temporal to see, if that's the better app.